Phaseless Signal Recovery in Infinite Dimensional Spaces Using Structured Modulations

Volker Pohl, Fanny Yang, Holger Boche

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

This paper considers the recovery of continuous signals in infinite dimensional spaces from the magnitude of their frequency samples. It proposes a sampling scheme which involves a combination of oversampling and modulations with complex exponentials. Sufficient conditions are given such that almost every signal with compact support can be reconstructed up to a unimodular constant using only its magnitude samples in the frequency domain. Finally it is shown that an average sampling rate of four times the Nyquist rate is enough to reconstruct almost every time-limited signal.

Original languageEnglish
Pages (from-to)1212-1233
Number of pages22
JournalJournal of Fourier Analysis and Applications
Volume20
Issue number6
DOIs
StatePublished - 18 Nov 2014

Keywords

  • Bernstein spaces
  • Interpolation
  • Phase retrieval
  • Sampling
  • Signal reconstruction

Fingerprint

Dive into the research topics of 'Phaseless Signal Recovery in Infinite Dimensional Spaces Using Structured Modulations'. Together they form a unique fingerprint.

Cite this